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Finding the Fourth Proportional to 253,020.96, 349,169.27 and 145,588.86

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Solution

The fourth proportional to 253,020.96, 349,169.27 and 145,588.86 is: 200,912.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,020.96 : 349,169.27 = 145,588.86 : x
  2. Step 2: Convert to fraction form
    253,020.96/349,169.27 = 145,588.86/x
  3. Step 3: Cross multiply
    253,020.96x = 349,169.27 × 145,588.86
  4. Step 4: Simplify right side
    253,020.96x = 50,835,155,238.39
  5. Step 5: Solve for x
    x = 50,835,155,238.39/253,020.96
  6. Step 6: Final answer
    x = 200,912.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.